Least Common Multiple of 363/884, 233/782, 286/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/884, 233/782, 286/864 quickly i.e. 1099527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/884, 233/782, 286/864 is 1099527.

LCM(363/884, 233/782, 286/864) = 1099527

LCM of 363/884, 233/782, 286/864

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 363/884,233/782,286/864

Given numbers are 363/884,233/782,286/864

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 363,233,286

Least Common Multiple of Numerators i.e. LCM of 363,233,286 is 2199054.

GCF of Denominators means GCF of 884,782,864 as per the given fractions.

GCF of 884,782,864 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,233,286

LCM of Fractions 363/884,233/782,286/864 is 1099527

11 363, 233, 286
33, 233, 26

∴ So the LCM of the given numbers is 11 x 33 x 233 x 26 = 2199054

Least Common Multiple of 363,233,286 with GCF Formula

Least Common Multiple of 363,233,286 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 363,233,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,233,286) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(363,233,286) x common factors =1 x 11 = 11

LCM(363,233,286) = ( 363 × 233 × 286 ) / 11

LCM(363,233,286) = 24189594 / 11

LCM(363,233,286) = 2199054


Lets's calculate GCF of 884,782,864

2 884, 782, 864
442, 391, 432

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2199054/2

Therefore the LCM of Fractions 363/884,233/782,286/864 is 1099527

Greatest Common Factor of 884,782,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,782,864 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 884,782,864 . The biggest common factor number is the GCF number.
So the greatest common factor 884,782,864 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 363/884, 233/782, 286/864

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 363/884, 233/782, 286/864?

Answer: LCM of Numerators as per given numbers 363/884, 233/782, 286/864 is

LCM of Numerators i.e. for 363,233,286 is 2199054

GCF of denominators i.e. for 884,782,864 is 2.

Thus, LCM of Fractions is 1099527.Finally, LCM of Fractions for 363/884, 233/782, 286/864 is 1099527.